Project Description
In this project we learned about congruence, similarity, and dilation. We learned what these concepts are, how they work, and how they can be implemented in real life. We learned about scale factors and used them to create scale models of things in life. I worked with a partner to create a scale drawing of the Barad-Dur, an immensely large tower seen in the movie "The Lord of the Rings: The Two Towers".
Congruence and Triangle Congruence:
Two shapes are congruent when they are they same shape and size. All sides must be the same length, all proportions the same, and all angles the same. |
Definition of Similarity:
Similar shapes are essentially the same, however, unlike congruent shapes, they do not have to be the same size. Shapes are similar when they are the same shape and have the same angles. A scaled instance of a shape will be similar to the original, but not congruent. |
Ratios and Proportions:
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Proving Similarity:
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Dilation:
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Dilation, Affect on Distance and Area:
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